Profit & Loss, Ex-10A

Question

(33). Ahmed buys a plot of land for Rs.480000. He sell 2/5 of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?

(34) A grocer bought sugar worth Rs 4500. He sold one-third of it at a gain of 10%. At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole?

Can anyone please send me the answers for the following questions?

Answer 1

(33) Buy of land = Rs.480000

\(\frac{2}{5}\) × 480000 = Rs.192000

Loss = 6%

\(\frac{100 - 6}{100} \times 192000 \) = Rs.180480

Total gain = 10%

\(\frac{100 + 10}{100}\) × 480000 = Rs.528000

S.P = 528000 − 180480 = Rs.347520

C.P of remaining part of land = \(\frac{3}{5}\) × 480000 = Rs.288000

Gain% of remaining part of land = \(\frac{S.P - C.P}{C.P} \times 100\)

\(= \frac{347520 - 288000}{288000} \times 100\)

= 20.3%

(34) CP of sugar = Rs. 4500

Profit on one-third of the sugar = 10%

CP of one-third of the sugar = Rs \(\frac{4500}{3}\) = Rs. 1500

SP of one − third of the sugar = \(\frac{100 + gain \%}{100} \times CP\)

= Rs \(\frac{110}{100} \times 1500\)

= Rs 1650

Now, profit = Rs (1650 − 1500) = Rs 150

At a profit of 12%, we have:

SP of sugar = \(\frac{100 + gain \%}{100} \times CP\)

= Rs \(\frac{112}{100} \times 4500\)

= Rs 5040

∴ Gain = Rs (5040 − 4500) = Rs 5400

Profit on the remaining amount of sugar = Rs (540 − 150) = Rs 390

CP of the remaining sugar = Rs (4500 − 1500) = Rs 3000

Gain percentage = \((\frac{gain}{CP} \times 100)\%\)

= \((\frac{390}{3000} \times 100)\%\)

= 13%

Therefore, the profit on the remaining amount of sugar is 13%.